New contiguous relations for a balanced q-series and their applications

DOI10.1007/S11139-023-00823-0MaRDI QIDQ6500206

Chenying Wang, Jianan Xu

Publication date: 10 May 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Abel, Borel and power series methods (40G10)

Cites Work

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• Summation formulae for a class of terminating balanced \(q\)-series
• Bilateral Bailey lemma and Rogers-Ramanujan identities
• Abel's lemma on summation by parts and basic hypergeometric series
• Bailey's very well-poised \(_6\psi_6\)-series identity
• Hall-Littlewood Functions, Plane Partitions, and the Rogers-Ramanujan Identities
• Tribasic integrals and identities of Rogers-Ramanujan type
• Partial Theta Functions. I. Beyond the Lost Notebook

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